Sinai, Ya. G.
Overview
Works:  18 works in 70 publications in 1 language and 130 library holdings 

Genres:  History Conference papers and proceedings 
Roles:  Editor, Author 
Classifications:  QA805, 530.13 
Publication Timeline
.
Most widely held works by
Ya. G Sinai
Ordinary differential equations and smooth dynamical systems by
V. I Arnolʹd(
Book
)
26 editions published between 1988 and 2001 in English and held by 38 WorldCat member libraries worldwide
This work describes the fundamental principles, problems, and methods of classical mechanics. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics, rather than its physical foundations or applications. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Chapter 2 presents the nbody problem as a generalization of the 2body problem. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Chapter 4 contains a brief survey of various approaches to the problem of the integrability of the equations of motion. Chapter 5 is devoted to one of the most fruitful branches of mechanics  perturbation theory. Chapter 6 is related to chapters 4 and 5, and studies the theoretical possibility of integrating the equations of motion. Elements of the theory of oscillations are given in chapter 7. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The "Encyclopaedia of Mathematical Sciences" addresses all mathematicians, physicists and enigneers
26 editions published between 1988 and 2001 in English and held by 38 WorldCat member libraries worldwide
This work describes the fundamental principles, problems, and methods of classical mechanics. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics, rather than its physical foundations or applications. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Chapter 2 presents the nbody problem as a generalization of the 2body problem. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Chapter 4 contains a brief survey of various approaches to the problem of the integrability of the equations of motion. Chapter 5 is devoted to one of the most fruitful branches of mechanics  perturbation theory. Chapter 6 is related to chapters 4 and 5, and studies the theoretical possibility of integrating the equations of motion. Elements of the theory of oscillations are given in chapter 7. The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The "Encyclopaedia of Mathematical Sciences" addresses all mathematicians, physicists and enigneers
Introduction to ergodic theory by
I︠A︡. G Sinaĭ(
Book
)
3 editions published between 1976 and 1977 in English and Undetermined and held by 22 WorldCat member libraries worldwide
3 editions published between 1976 and 1977 in English and Undetermined and held by 22 WorldCat member libraries worldwide
Optimal Transport : Old and New by M Berger(
)
1 edition published in 2009 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 11 WorldCat member libraries worldwide
Bifurcation theory and catastrophe theory by
V. I Arnolʹd(
Book
)
6 editions published between 1988 and 1994 in English and held by 9 WorldCat member libraries worldwide
Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly nonsmooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Moreover, understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight
6 editions published between 1988 and 1994 in English and held by 9 WorldCat member libraries worldwide
Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly nonsmooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Moreover, understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight
Dynamical systems(
Book
)
6 editions published between 1988 and 2003 in English and held by 8 WorldCat member libraries worldwide
6 editions published between 1988 and 2003 in English and held by 8 WorldCat member libraries worldwide
Dynamical systems by
D. V Anosov(
Book
)
6 editions published between 1988 and 1995 in English and held by 8 WorldCat member libraries worldwide
6 editions published between 1988 and 1995 in English and held by 8 WorldCat member libraries worldwide
Dynamical systems by
V. I Arnolʹd(
Book
)
5 editions published in 1993 in English and held by 6 WorldCat member libraries worldwide
A survey of singularity theory and its main applications. It covers: the critical points of functions; monodromy groups of critical points; basic properties of maps; and the global theory of singularities
5 editions published in 1993 in English and held by 6 WorldCat member libraries worldwide
A survey of singularity theory and its main applications. It covers: the critical points of functions; monodromy groups of critical points; basic properties of maps; and the global theory of singularities
Mathematical physics(
Book
)
3 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
Dynamical systems and statistical mechanics : from the Seminar on Statistical Physics held at Moscow State University by Ya.
G. Sinaĭ by
Ya. G Sinai(
Book
)
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
Mathematical physics. Dynamical systems, ergodic theory and applications(
Book
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
Mathematical events of the twentieth century by
A. A Bolibrukh(
Book
)
3 editions published between 2005 and 2006 in English and held by 2 WorldCat member libraries worldwide
Annotation
3 editions published between 2005 and 2006 in English and held by 2 WorldCat member libraries worldwide
Annotation
Mathematical physics. Hard ball systems and the Lorentz gas(
Book
)
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
Dynamical systems. 3540 170014. Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
On the stochasticity in relativistic cosmology by
I. M Khalatnikov(
Book
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
Dynamical systems. 3540 533761. Singularity Theory 2, Applications(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
A dynamical system by
Ya. G Sinai(
Book
)
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
Works on the foundations of statistical physics by
Nikolaĭ Sergeevich Krylov(
Book
)
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Anosov, D.V. Editor
 Arnold, V.I. Editor
 Novikov, S.P. Editor
 Novikov, S.P. Editor
 Arnol'='=#'>>d, V. I. (Arnol'='=#'>>d, Vladimir Igorevich)
 Sinaī, IAkov Grigorʹevich
 Gamkrelidze, R.V. Editor
 Hitchin, N.
 Eckmann, B.
 Berger, M. Author
Associated Subjects
Algebraic topology Bifurcation theory Catastrophes (Mathematics) Celestial mechanics Cell aggregationMathematics Chaotic behavior in systems Differentiable dynamical systems Differentiable mappings Differential equations Differential equations, Partial Dynamics Ergodic theory Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Hyperbolic spaces Mathematical optimization Mathematical physics Mathematics MathematicsPhilosophy Mechanics, Analytic Monodromy groups Nonholonomic dynamical systems Physics Russia (Federation) Singularities (Mathematics) Soviet Union Statistical mechanics Statistical physics Symplectic geometry Symplectic groups Symplectic manifolds Topological groups